Zobrazeno 1 - 6
of 6
pro vyhledávání: '"32Q26, 53C07"'
Autor:
Sun, Jingzhou
We continue our study on the logarithmic balanced model metric initiated in our previous work. By a non-trivial refinement of the set of tools developed in our previous work, we are able to confirm partially a conjecture we made in our previous work
Externí odkaz:
http://arxiv.org/abs/2405.08346
Autor:
Hisamoto, Tomoyuki
Based on the recent work of K.~Zhang, we discuss the Miyaoka-Yau type inequality for projective manifolds with nef anti-canonical line bundle, assuming the lower bound of the delta-invariant introduced by Fujita and Odaka.
Comment: In the second
Comment: In the second
Externí odkaz:
http://arxiv.org/abs/2403.09120
Autor:
Finski, Siarhei
For a polarized family of complex projective manifolds, we study the asymptotic distribution of Harder-Narasimhan slopes of direct image sheaves associated with high tensor powers of the polarization. We establish a theorem of Mehta-Ramanathan type,
Externí odkaz:
http://arxiv.org/abs/2402.08554
Autor:
Sun, Jingzhou
This is the sequel to our first paper concerning the balanced embedding of a non-compact complex manifold into an infinite-dimensional projective space. We prove the uniqueness of such an embedding. The proof relies on fine estimates of the asymptoti
Externí odkaz:
http://arxiv.org/abs/2311.10948
Autor:
Sun, Jingzhou, Sun, Song
We investigate the problem of balanced embedding of a non-compact complex manifold into an infinite-dimensional projective space. In this paper we prove the existence of such an embedding in a model case. The strategy is by using a gradient flow in a
Externí odkaz:
http://arxiv.org/abs/2309.01097
We show that on any compact K\"ahler surface existence of solutions to the Z-critical equation can be characterized using a finite number of effective conditions, where the number of conditions is bounded above by the Picard number of the surface.Thi
Externí odkaz:
http://arxiv.org/abs/2210.06374